Zobrazeno 1 - 10
of 106
pro vyhledávání: '"lah number"'
Autor:
Feng Qi
Publikováno v:
Results in Nonlinear Analysis, Vol 3, Iss 4, Pp 185-195 (2020)
In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives
Externí odkaz:
https://doaj.org/article/1782d3141ae842439f84afa78ac610c7
Autor:
Qi Feng, Guo Bai-Ni
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 10, Iss 1, Pp 125-133 (2018)
In the paper, the authors find the sum of the Lah numbers and make sure that the Kummer confluent hypergeometric function 1F1(n+ 1; 2; z) has only n− 1real and negative zeros.
Externí odkaz:
https://doaj.org/article/00fc8165e6c24aa8b60c6bebce6d8dd1
Akademický článek
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Akademický článek
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Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 8, Iss 2, Pp 282-297 (2016)
In the paper, the authors find several identities, including a new recurrence relation for the Stirling numbers of the first kind, involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers.
Externí odkaz:
https://doaj.org/article/912262b37f684d818d2e2a814f1d8e01
Autor:
Hye Kyung Kim
Publikováno v:
AIMS Mathematics, Vol 7, Iss 2, Pp 2929-2939 (2022)
The $ r $-Lah numbers generalize the Lah numbers to the $ r $-Stirling numbers in the same sense. The Stirling numbers and the central factorial numbers are one of the important tools in enumerative combinatorics. The $ r $-Lah number counts the numb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb7dbcad039fc474a9fd18b10095e223
https://www.aimspress.com/article/doi/10.3934/math.2022161?viewType=HTML
https://www.aimspress.com/article/doi/10.3934/math.2022161?viewType=HTML
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-9 (2021)
In this paper, we introduce multi-Lah numbers and multi-Stirling numbers of the first kind and recall multi-Bernoulli numbers, all of whose generating functions are given with the help of multiple logarithm. The aim of this paper is to study several
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::627d7dd7810a4cb52239cd893ac3846b
https://doaj.org/article/53ece1847b354f68b76e85b6e74fd0f9
https://doaj.org/article/53ece1847b354f68b76e85b6e74fd0f9
Autor:
Gabriella Rácz, Gábor Nyul
Publikováno v:
Czechoslovak Mathematical Journal. 71:947-959
We give a graph theoretic interpretation of r-Lah numbers, namely, we show that the r-Lah number $${\left\lfloor {\matrix{n \cr k \cr } } \right\rfloor _r}$$ counting the number of r-partitions of an (n + r)-element set into k + r ordered blocks is j
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a37bdd6378bdd595b0c12163268806a2
https://doi.org/10.21136/cmj.2021.0148-20
https://doi.org/10.21136/cmj.2021.0148-20
Autor:
Yilmaz Simsek
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:11245-11268
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48a51567378bf03a77a4e1dc17b95f47
https://doi.org/10.1002/mma.7485
https://doi.org/10.1002/mma.7485